{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "480765be",
   "metadata": {},
   "outputs": [],
   "source": [
    "from astropy.io import fits\n",
    "import HAWCtoHerschel as HtoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5477674",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Source information\n",
    "SourceName = 'G24'\n",
    "FullName = 'G24.00+0.48'\n",
    "# Loading the fits files\n",
    "SourceT = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Tdust_10_10.fits')\n",
    "SourceN = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_N_10_10.fits')\n",
    "SourcePol = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Gal.fits')\n",
    "SourcePlanck = fits.open('../FIELDMAPS_Plots/'+SourceName+'/Data/'+SourceName+'_Planck.fits')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8fbf97a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot parameters\n",
    "ScaleLength = 0.0108105  # 0.0098786 # 1 pc in degrees for the target\n",
    "\n",
    "# Region location, width, and height\n",
    "l_center = 23.8668537 # Position in galactic longitude (degrees)\n",
    "b_center = 0.5060413 # Position in galactic latitude (degrees)\n",
    "l_width = 0.8520718 # Width in galactic longitude (degrees)\n",
    "b_height = 0.3391435 # Height in galactic latitude (degrees)\n",
    "Region = [l_center,b_center,l_width,b_height]\n",
    "\n",
    "# Intensity contours for the plot\n",
    "Icontours = [10, 20, 30, 40, 50, 60] # in mJy/arcsec^2\n",
    "# Ranges for plots\n",
    "Nscale = [0,1.5e+22] # Range for column density in cm^-2\n",
    "Tscale = [15.0,25.0] # Range for temperature map in K\n",
    "Iscale = [0.0,20.0] # Range for intensity map in mJy/arcsec^2\n",
    "# Vector scaling fraction in polarization plots\n",
    "Pvscale = 0.8\n",
    "\n",
    "# Figure size\n",
    "MapFigSize = [10.67,6] # in inches\n",
    "\n",
    "# Effective HAWC+ beam size to use\n",
    "HAWCBeam = 0.00519 # 18.7'' in Band E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a2a163b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Beam Size of polarization data\n",
      "18.2\n",
      "Beam size of target pojection\n",
      "36.395999999999994\n",
      "Pixel size of the polarization data\n",
      "4.550000000000001\n",
      "Pixel size of the target projection\n",
      "14.0000004\n",
      "Target standard deviation for smoothing in arcseconds\n",
      "13.384761981071023\n",
      "Target standard deviation for smoothing in pixels\n",
      "2.941705929905719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: nan_treatment='interpolate', however, NaN values detected post convolution. A contiguous region of NaN values, larger than the kernel size, are present in the input array. Increase the kernel size to avoid this. [astropy.convolution.convolve]\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:96: RuntimeWarning: invalid value encountered in divide\n",
      "  dPI = ((StokesQ*dQ)**2.0 + (StokesU*dU)**2.0)**0.5/PI_biased\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:106: RuntimeWarning: invalid value encountered in divide\n",
      "  P_biased = 100.0*PI_biased/StokesI\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:109: RuntimeWarning: invalid value encountered in divide\n",
      "  dP = np.absolute(P_biased*((dPI/PI_biased)**2.0 + (dI/StokesI)**2.0)**0.5)\n",
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:120: RuntimeWarning: invalid value encountered in divide\n",
      "  dO = (0.5*180.0/math.pi)*((StokesQ*dU)**2.0 +\n"
     ]
    }
   ],
   "source": [
    "# Reprojecting the HAWC+ Stokes data to the Herschel pixel scale\n",
    "NewPol = HtoH.ReprojectCube(SourcePol,SourceN, Smooth=True)\n",
    "#NewPol.writeto('test2.fits', overwrite=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31eb9087",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\simon\\OneDrive\\Python\\FIELDMAPS_Testing_Herschel\\HAWCtoHerschel.py:228: RuntimeWarning: invalid value encountered in divide\n",
      "  imask_01 = np.where(Pdata[0].data/Pdata[1].data < IdI) # Total intensity SNR threshold\n"
     ]
    }
   ],
   "source": [
    "# Creating downsampled vector catalogs (independent vectors)\n",
    "# Creating the mask for the region\n",
    "DownsampleMask = HtoH.DownsampleVectors(NewPol,Step=2)\n",
    "# Creating the new catalogs for the region\n",
    "CatI, CatdI, CatQ, CatdQ, CatU, CatdU, CatP, CatdP, CatO, CatB,CatdO, CatPI, CatdPI, CatN, CatT = HtoH.MakePCats(SourceN, SourceT, SourcePol, NewPol, CatMask=DownsampleMask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2c4fb0cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "===\n",
      "Curve fit test\n",
      "Log scale fit: (-0.7922772348642686,36.53115983357459)\n",
      "Direct power law fit: (-0.7102982326388854,33.456917593301455)\n",
      "===\n",
      "\n",
      "Power law index: -0.7922772348642686 ± 0.022539767313377302\n",
      "Coefficient: 36.53115983357459 ± 1.9914375259194206\n",
      "Chi-Squared: 1071.1818556106755\n",
      "Number of elements: 586\n",
      "Reduced Chi-Squared: 1.8342155061826635\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PvI_plot_Step2 = HtoH.PvI(CatP, CatdP, CatI, Iscale=[0.8,150.0], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "59006181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power law index: -0.927191030365434 ± 0.037906886505986115\n",
      "Coefficient: 1.1512409623323684e+21 ± 2.1997406788493847e+21\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the column density\n",
    "PvN_plot_Step2 = HtoH.PvN(CatP, CatdP, CatN, Nscale=[2e+21,5e+22], Pscale=[0.0,30.0], showfit='true', weighted='false', errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c49996f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 512x384 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polarization fraction as a function of the dust column density\n",
    "PvT_plot_Step2 = HtoH.PvT(CatP, CatT, Tscale=[14,25], Pscale=[0.0,30.0], CatdP=CatdP, errorbars='true', Source=FullName)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "491d0620",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Saving figures\n",
    "# PNG\n",
    "PvI_plot_Step2.savefig('Plots/'+SourceName+'_PvI_plot_Step2.png',dpi=300)\n",
    "PvN_plot_Step2.savefig('Plots/'+SourceName+'_PvN_plot_Step2.png',dpi=300)\n",
    "PvT_plot_Step2.savefig('Plots/'+SourceName+'_PvT_plot_Step2.png',dpi=300)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "PoLiteWIP",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
